Optimal Domain and Integral Extension of Operators: Acting in Function Spaces (Operator Theory: Advances and Applications, 180)

Okada, S.; Ricker, Werner J.; Sánchez Pérez, Enrique A.

ISBN 10: 3764386479 / ISBN 13: 9783764386474

Editore: Birkhäuser, 2008

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Codice articolo SHUB273573

Dati bibliografici

• Titolo: Optimal Domain and Integral Extension of Operators: Acting in Function Spaces (Operator Theory: Advances and Applications, 180)
• Editore: Birkhäuser
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764386479
• ISBN 13: 9783764386474
• Rilegatura: Rilegato
• Condizione: nuovo

Descrizione articolo

Riassunto

This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Most of the material appears in print for the first time. The book has an interdisciplinary character and is aimed at graduates, postgraduates, and researchers in modern operator theory.

Contenuti

Quasi-Banach Function Spaces.- Vector Measures and Integration Operators.- Optimal Domains and Integral Extensions.- p-th Power Factorable Operators.- Factorization of p-th Power Factorable Operators through Lq-spaces.- Operators from Classical Harmonic Analysis.